- A tank, which contained water, started to leak from a hole in its base.
The volume of water in the tank 24 minutes after the leak started was \(4 \mathrm {~m} ^ { 3 }\)
The volume of water in the tank 60 minutes after the leak started was \(2.8 \mathrm {~m} ^ { 3 }\)
The volume of water, \(V \mathrm {~m} ^ { 3 }\), in the tank \(t\) minutes after the leak started, can be described by a linear model between \(V\) and \(t\).
- Find an equation linking \(V\) with \(t\).
Use this model to find
- the initial volume of water in the tank,
- the time taken for the tank to empty.
- Suggest a reason why this linear model may not be suitable.